10233879405957 has 40 divisors (see below), whose sum is σ = 15486737185920. Its totient is φ = 6733894461120.

The previous prime is 10233879405947. The next prime is 10233879406007. The reversal of 10233879405957 is 75950497833201.

10233879405957 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 38 + 7 + 9 + 4 + 0 + 595 + 7 = 666.

10233879405957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10233879405957 - 2⁷ = 10233879405829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10233879405894 and 10233879405903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233879405947) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6252657 + ... + 7717737.

It is an arithmetic number, because the mean of its divisors is an integer number (387168429648).

Almost surely, 2^{10233879405957} is an apocalyptic number.

It is an amenable number.

10233879405957 is a deficient number, since it is larger than the sum of its proper divisors (5252857779963).

10233879405957 is a wasteful number, since it uses less digits than its factorization.

10233879405957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466215 (or 1466206 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 10233879405957 in words is "ten trillion, two hundred thirty-three billion, eight hundred seventy-nine million, four hundred five thousand, nine hundred fifty-seven".